Atkin-Lehner |
2- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72842k |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
11197440 |
Modular degree for the optimal curve |
Δ |
-7.4364612189662E+21 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-141097558,-645125572332] |
[a1,a2,a3,a4,a6] |
Generators |
[389822302057634257090265434:309799362202543658283355261110:616224009611762404217] |
Generators of the group modulo torsion |
j |
-175358205925209173301625/4197688489962352 |
j-invariant |
L |
6.8545581385709 |
L(r)(E,1)/r! |
Ω |
0.021902266594486 |
Real period |
R |
39.120141453171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622f1 |
Quadratic twists by: -11 |